What is the Least Common Multiple of 56129 and 56142?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56129 and 56142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56129 and 56142, than apply into the LCM equation.

GCF(56129,56142) = 1
LCM(56129,56142) = ( 56129 × 56142) / 1
LCM(56129,56142) = 3151194318 / 1
LCM(56129,56142) = 3151194318

Least Common Multiple (LCM) of 56129 and 56142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56129 and 56142. First we will calculate the prime factors of 56129 and 56142.

Prime Factorization of 56129

Prime Factorization of 56142

Now multiplying the highest exponent prime factors to calculate the LCM of 56129 and 56142.

LCM(56129,56142) = 37² × 41¹ × 2¹ × 3² × 3119¹
LCM(56129,56142) = 3151194318